Computing Discrete Minimal Surfaces and Their Conjugates

نویسندگان

  • Ulrich Pinkall
  • Konrad Polthier
چکیده

We present a new algorithm to compute stable discrete minimal surfaces bounded by a number of Þxed or free boundary curves in R, S and H. The algorithm makes no restriction on the genus and can handle singular triangulations. For a discrete harmonic map a conjugation process is presented leading in case of minimal surfaces additionally to instable solutions of the free boundary value problem for minimal surfaces. Symmetry properties of boundary curves are respected during conjugation.

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عنوان ژورنال:
  • Experimental Mathematics

دوره 2  شماره 

صفحات  -

تاریخ انتشار 1993